Torsion of chiral Cosserat elastic rods

D. Iesan (1)

1 Department of Mathematics

This paper is concerned with the torsion of isotropic chiral Cosserat elastic cylin-ders. First, the generalized plane strain problem is defined and an existence result is presented. Then, the three-dimensional problem is reduced to the study of some generalized plane strain problems. In general, the torsion of the cylinder is accom-panied by bending and extension. The method is applied to study the torsion of a circular cylinder.

Mots clés: Chiral materials; Cosserat cylinder; Torsion; Bending

Domaines: Mécanique des solides [physics.class-ph]; Mécanique des solides [physics.class-ph]

D. Iesan. Torsion of chiral Cosserat elastic rods. European Journal of Mechanics - A/Solids, 2010, 29 (6), pp.990. ⟨10.1016/j.euromechsol.2010.08.001⟩. ⟨hal-00687343⟩